Subtract. 3/10 − 4/5 = _____

Find common denominator: Find a common denominator for the fractions 3/10 and 4/5. The least common denominator (LCD) between 10 and 5 is 10. Convert 4/5 to a fraction with denominator 10: 4/5 = (4×2)/(5×2) = 8/10Convert fractions: Subtract the two fractions. Now, subtract 3/10 from 8/10: 3/10 - 8/10 = -5/10Subtract fractions: Simplify the result. -5/10 can be simplified to -1/2 by dividing both numerator and denominator by 5.

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Math Problems

Grade 7

Add and subtract fractions

Full solution

Q. Subtract.

\newline

\frac{3}{10} - \frac{4}{5} =

_____

Find common denominator: Find a common denominator for the fractions $\frac{3}{10}$ and $\frac{4}{5}$ . The least common denominator (LCD) between $10$ and $5$ is $10$ . Convert $\frac{4}{5}$ to a fraction with denominator $10$ : $\frac{4}{5} = \frac{(4\times2)}{(5\times2)} = \frac{8}{10}$
Convert fractions: Subtract the two fractions. $\newline$ Now, subtract $\frac{3}{10}$ from $\frac{8}{10}$ : $\newline$ $\frac{3}{10} - \frac{8}{10} = -\frac{5}{10}$
Subtract fractions: Simplify the result. $\newline$ $-\frac{5}{10}$ can be simplified to $-\frac{1}{2}$ by dividing both numerator and denominator by $5$ .